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Finding the Fourth Proportional to 976.66, 1,347.68 and 778.00

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Solution

The fourth proportional to 976.66, 1,347.68 and 778.00 is: 1,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.66 : 1,347.68 = 778.00 : x
  2. Step 2: Convert to fraction form
    976.66/1,347.68 = 778.00/x
  3. Step 3: Cross multiply
    976.66x = 1,347.68 × 778.00
  4. Step 4: Simplify right side
    976.66x = 1,048,494.21
  5. Step 5: Solve for x
    x = 1,048,494.21/976.66
  6. Step 6: Final answer
    x = 1,073.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.